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arXiv 2010.00538quant-phcs.ITmath.IT
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利用旋转级联稳定器码避免相干错误

Avoiding coherent errors with rotated concatenated stabilizer codes

Yingkai Ouyang

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8 pages, 5 figures, two columns
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摘要：

由集体耦合引起的相干误差是许多现实量子系统中的主要噪声形式，并且比通常认为的随机误差更具破坏性。在这里，我们建议整合稳定器代码与恒定激励代码的代码级联。也就是说，通过级联的$[[n,k,d]]$稳定外码与双轨内码，我们得到了$[[2n,k,d]]$恒定激励码免疫相干相位误差，也相当于一个保利旋转稳定码。当稳定器外码具有容错性时，恒激励码对随机误差具有正的容错阈值。将外部代码设置为四量子位振幅阻尼代码产生八量子位恒定激励代码，该代码校正单个振幅阻尼误差，并且我们分析了该代码作为量子存储器的潜力。

英文摘要：

Coherent errors, which arise from collective couplings, are a dominant form of noise in many realistic quantum systems, and are more damaging than oft considered stochastic errors. Here, we propose integrating stabilizer codes with constant-excitation codes by code concatenation. Namely, by concatenating an $[[n,k,d]]$ stabilizer outer code with dual-rail inner codes, we obtain a $[[2n,k,d]]$ constant-excitation code immune from coherent phase errors and also equivalent to a Pauli-rotated stabilizer code. When the stabilizer outer code is fault-tolerant, the constant-excitation code has a positive fault-tolerant threshold against stochastic errors. Setting the outer code as a four-qubit amplitude damping code yields an eight-qubit constant-excitation code that corrects a single amplitude damping error, and we analyze this code's potential as a quantum memory.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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